Cobordism groups of special generic functions and groups of homotopy spheres

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Abstract

Morse functions with only minima and maxima as their critical points are called special generic functions. We show that for n greater than or equal to 6, the π-dimensional oriented cobordism group of such functions is naturally isomorphic to the h-cobordism group of oriented homotopy n-spheres. We also study the unoriented cobordism group of special generic functions.

Original languageEnglish
Pages (from-to)287-297
Number of pages11
JournalJapanese Journal of Mathematics
Volume28
Issue number2
DOIs
Publication statusPublished - Jan 1 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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